The generator matrix

1 0 0 0 1 1 1 0 2 1 1 1 0 1 2 1 1 0 2 2 1 1 1 1 0 1 1 1 2 2 0 0 1 2 1 2 1 0 1 1 0
0 1 0 0 0 0 2 2 1 1 1 1 1 3 1 1 2 1 1 2 0 3 0 3 2 0 2 1 1 1 1 1 0 2 2 1 0 0 2 3 0
0 0 1 0 0 1 1 1 0 1 3 2 1 2 1 3 2 0 3 2 3 1 2 3 1 1 0 2 2 3 2 1 3 1 1 0 0 2 0 1 1
0 0 0 1 1 2 1 3 1 0 1 3 2 0 3 1 0 2 0 1 2 2 1 1 3 3 2 0 1 0 1 1 2 3 3 3 1 1 3 0 3
0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0

generates a code of length 41 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+67x^36+137x^38+98x^40+58x^42+57x^44+49x^46+21x^48+8x^50+10x^52+4x^54+2x^56

The gray image is a code over GF(2) with n=82, k=9 and d=36.
This code was found by Heurico 1.10 in 0 seconds.